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Finding the Fourth Proportional to 12,533.60, 17,297.21 and 7,228.78

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Solution

The fourth proportional to 12,533.60, 17,297.21 and 7,228.78 is: 9,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.60 : 17,297.21 = 7,228.78 : x
  2. Step 2: Convert to fraction form
    12,533.60/17,297.21 = 7,228.78/x
  3. Step 3: Cross multiply
    12,533.60x = 17,297.21 × 7,228.78
  4. Step 4: Simplify right side
    12,533.60x = 125,037,700.53
  5. Step 5: Solve for x
    x = 125,037,700.53/12,533.60
  6. Step 6: Final answer
    x = 9,976.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.